Spectral representation of the shear viscosity for local scalar QFTs at finite temperature

In local scalar quantum field theories at finite temperature correlation functions are known to satisfy certain nonperturbative constraints, which for two-point functions in particular implies the existence of a generalization of the standard Källén-Lehmann representation. In this work, we use these...

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Bibliographic Details
Published in:Physical review. D 2021-09, Vol.104 (6), p.1, Article 065010
Main Authors: Lowdon, Peter, Tripolt, Ralf-Arno, Pawlowski, Jan M., Rischke, Dirk H.
Format: Article
Language:English
Subjects:
Quantum theory
Representations
Shear viscosity
Viscosity
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Summary:In local scalar quantum field theories at finite temperature correlation functions are known to satisfy certain nonperturbative constraints, which for two-point functions in particular implies the existence of a generalization of the standard Källén-Lehmann representation. In this work, we use these constraints in order to derive a spectral representation for the shear viscosity arising from the thermal asymptotic states, η0. As an example, we calculate η0 in ϕ4 theory, establishing its leading behavior in the small and large coupling regimes.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.104.065010